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| {{Infobox MOS | | {{Infobox MOS}} |
| | Periods = 1
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| | nLargeSteps = 3
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| | nSmallSteps = 16
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| | Equalized = 6
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| | Paucitonic = 1
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| | Pattern = LsssssLsssssLssssss
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| }} | |
| {{MOS intro}} | | {{MOS intro}} |
| This MOS divides its small steps 5-5-6 between its large steps. Around +5g = 3, [[magic]] appears. Going higher, [[würschmidt]] appears where the generator is exactly [[5/4]]. | | |
| | This scale is associated with [[magic]] temperament, where 5 bright generators maps to [[3/1]] and the generator is a flat [[5/4]], and [[würschmidt]] temperament, where 8 bright generators map to [[6/1]] and the generator is a slightly sharp [[5/4]]. |
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| == Modes == | | == Modes == |
| * 18|0 LsssssLsssssLssssss
| | {{MOS modes}} |
| * 17|1 LsssssLssssssLsssss
| | |
| * 16|2 LssssssLsssssLsssss
| | == Intervals == |
| * 15|3 sLsssssLsssssLsssss
| | {{MOS intervals}} |
| * 14|4 sLsssssLssssssLssss
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| * 13|5 sLssssssLsssssLssss
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| * 12|6 ssLsssssLsssssLssss
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| * 11|7 ssLsssssLssssssLsss
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| * 10|8 ssLssssssLsssssLsss
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| * 9|9 sssLsssssLsssssLsss
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| * 8|10 sssLsssssLssssssLss
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| * 7|11 sssLssssssLsssssLss
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| * 6|12 ssssLsssssLsssssLss
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| * 5|13 ssssLsssssLssssssLs
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| * 4|14 ssssLssssssLsssssLs
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| * 3|15 sssssLsssssLsssssLs
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| * 2|16 sssssLsssssLssssssL
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| * 1|17 sssssLssssssLsssssL
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| * 0|18 ssssssLsssssLsssssL
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| == Scales tree == | | == Scale tree == |
| Generator ranges:
| | {{MOS tuning spectrum |
| * Bright generator: 378.9474 cents (6\19) to 400 cents (1\3)
| | | depth = 5 |
| * Dark generator: 800 cents (2\3) to 821.0526 cents (13\19)
| | | 11/8 = [[Witchcraft]] |
| | | 3/2 = [[Magic]] is around here |
| | | 13/8 = [[Necromancy]]<br />Golden magic (380.8191{{c}}) |
| | | 12/5 = [[Marveltri]] is around here |
| | | 13/5 = Unnamed golden tuning (383.2314{{c}}) |
| | | 9/2 = [[Sulis]] |
| | | 5/1 = [[Grendel]]/[[Würschmidt]] |
| | }} |
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| {| class="wikitable center-all" | | {{todo|expand}} |
| ! colspan="6" | Bright generator
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| ! Cents
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| ! L
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| ! s
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| ! L/s
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| ! Comments
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| |-
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| | 6\19 || || || || || || 378.947 || 1 || 1 || 1.000 ||
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| |-
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| | || || || || || 31\98 || 379.592 || 6 || 5 || 1.200 ||
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| |-
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| | || || || || 25\79 || || 379.747 || 5 || 4 || 1.250 ||
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| |-
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| | || || || || || 44\139 || 379.856 || 9 || 7 || 1.286 ||
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| |-
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| | || || || 19\60 || || || 380.000 || 4 || 3 || 1.333 ||
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| |-
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| | || || || || || 51\161 || 380.124 || 11 || 8 || 1.375 || [[Witchcraft]]
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| |-
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| | || || || || 32\101 || || 380.198 || 7 || 5 || 1.400 ||
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| |-
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| | || || || || || 45\142 || 380.282 || 10 || 7 || 1.429 ||
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| |-
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| | || || 13\41 || || || || 380.488 || 3 || 2 || 1.500 || [[Magic]] is around here
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| |-
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| | || || || || || 46\145 || 380.690 || 11 || 7 || 1.571 ||
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| |-
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| | || || || || 33\104 || || 380.769 || 8 || 5 || 1.600 ||
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| |-
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| | || || || || || 53\167 || 380.838 || 13 || 8 || 1.625 || [[Necromancy]] <br>Golden magic (380.8191¢)
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| |-
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| | || || || 20\63 || || || 380.952 || 5 || 3 || 1.667 ||
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| |-
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| | || || || || || 47\148 || 381.081 || 12 || 7 || 1.714 ||
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| |-
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| | || || || || 27\85 || || 381.176 || 7 || 4 || 1.750 ||
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| |-
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| | || || || || || 34\107 || 381.308 || 9 || 5 || 1.800 ||
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| |-
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| | || 7\22 || || || || || 381.818 || 2 || 1 || 2.000 || Basic 3L 16s <br>(Generators smaller than this are proper)
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| |-
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| | || || || || || 29\91 || 382.418 || 9 || 4 || 2.250 ||
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| |-
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| | || || || || 22\69 || || 382.609 || 7 || 3 || 2.333 || [[Marveltri]]
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| |-
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| | || || || || || 37\116 || 382.759 || 12 || 5 || 2.400 || Marveltri
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| |-
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| | || || || 15\47 || || || 382.979 || 5 || 2 || 2.500 || Marveltri
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| |-
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| | || || || || || 38\119 || 383.193 || 13 || 5 || 2.600 || Unnamed golden tuning (383.2314¢)
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| |-
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| | || || || || 23\72 || || 383.333 || 8 || 3 || 2.667 ||
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| |-
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| | || || || || || 31\97 || 383.505 || 11 || 4 || 2.750 ||
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| |-
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| | || || 8\25 || || || || 384.000 || 3 || 1 || 3.000 ||
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| |-
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| | || || || || || 25\78 || 384.615 || 10 || 3 || 3.333 ||
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| |-
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| | || || || || 17\53 || || 384.906 || 7 || 2 || 3.500 ||
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| |-
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| | || || || || || 26\81 || 385.185 || 11 || 3 || 3.667 ||
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| |-
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| | || || || 9\28 || || || 385.714 || 4 || 1 || 4.000 ||
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| |-
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| | || || || || || 19\59 || 386.441 || 9 || 2 || 4.500 || [[Sulis]]
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| |-
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| | || || || || 10\31 || || 387.097 || 5 || 1 || 5.000 || [[Grendel]]/[[Würschmidt]]
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| |-
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| | || || || || || 11\34 || 388.235 || 6 || 1 || 6.000 ||
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| |-
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| | 1\3 || || || || || || 400.000 || 1 || 0 || → inf ||
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| |}
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| [[Category:19-tone scales]] | | [[Category:19-tone scales]] |
| [[Category:Magic]] | | [[Category:Magic]] |